The units of entropy are obviously J / K. Since it is proportional to the heat content of a system, entropy is an extrinsic state variable.

Entropy is often defined as a measure of the randomness of a system. For example, as the aroma from a cup of coffee diffuses through the room (with the help of convection), the entropy of the air-aroma system in the room increases, because the molecules in the aroma are distributed much more randomly than before. Mathematically, the number of possible positions and velocities for each molecule of 2 - Furylmethanethiol is much greater than when they were all in the coffee cup. Hence an increase in entropy involves an increase in the number of possible states the system may be in.

Therefore the total entropy of this system is 7 k ln 2 = 6.7 * 10-23 J/K. We will consider below the photosynthesis of 60 mols of 690 nm
photons. The entropy generated by that process (assuming it takes place at 20 C) is about 24.7 kJ/K. The degeneracy associated with this
entropy is e1.789 * 1027. Can your calculator evaluate that number? Using the algebraic rules for exponents and logs, you
could in principle write that number down as a 1 followed by 7.77 * 1026 zeroes. Assuming the universe is 14 billion years old and that
you could write one zero each second, it would take 1.76 billion times the current age of the universe!